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WBJEE 2016 Math Solved Paper
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© examsnet.com
Question : 12
Total: 75
Then equation of auxiliary circle of the ellipse
16
x
2
+
25
y
2
+
32
x
–
100
y
=
284
is
2
+
y
2
+
2
x
−
4
y
−
20
=
0
2
+
y
2
+
2
x
−
4
y
=
0
(
x
+
1
)
2
+
(
y
−
2
)
2
=
400
(
x
+
1
)
2
+
(
y
−
2
)
2
=
225
Validate
Solution:
Simplifying the given equation, we have the ellipse as :
(
x
+
1
)
2
25
+
(
y
−
2
)
2
16
=
1
So, the auxilliary circle is
(
x
+
1
)
2
+
(
y
−
2
)
2
=
25
⇒
2
+
y
2
+
2
x
−
4
y
−
20
=
0
© examsnet.com
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